You are an Operations Manager for a local steel manufacturing company, and you are in the process of selecting a vendor for a new type of metal finishing machine. For the past week you’ve tested machines from three different companies and collected the randomly sampled data below that shows how many parts each machine produced in seven different one-hour periods over the course of your manufacturing test. Is the average production of these machines the same, or is one of them different from the others? [If the productivity is the same, you will simply choose the machine with the lowest cost.] You may assume that all populations are independent and nearly normal. Test at the 95% confidence level. (i.e. α= 0.05) Parts produced per hour for machines from three vendors: Machine A Machine B Machine C 112 116 102 104 118 107 116 112 108 98 108 92 109 113 114 111 117 105 115 107 102 What type of hypothesis test is required here? Verify all assumptions required for this test: State the null and alternate hypotheses for this test: (use correct symbols and format!) Run the correct using a software and provide the information below. Use correct symbols and round answers to 3 decimal places. Test Statistic = Degrees of freedom (1st) = Critical Value = Degrees of freedom (2nd) = p-value = State your statistical decision (and justify it!) Interpret your decision within the context of the problem: what is your conclusion?
MANUFACTURING PRODUCTIVITY
You are an Operations Manager for a local steel manufacturing company, and you are in the process of selecting a vendor for a new type of metal finishing machine. For the past week you’ve tested machines from three different companies and collected the randomly sampled data below that shows how many parts each machine produced in seven different one-hour periods over the course of your manufacturing test. Is the average production of these machines the same, or is one of them different from the others? [If the productivity is the same, you will simply choose the machine with the lowest cost.] You may assume that all populations are independent and nearly normal. Test at the 95% confidence level. (i.e. α= 0.05)
Parts produced per hour for machines from three vendors:
|
Machine A |
Machine B |
Machine C |
|
112 |
116 |
102 |
|
104 |
118 |
107 |
|
116 |
112 |
108 |
|
98 |
108 |
92 |
|
109 |
113 |
114 |
|
111 |
117 |
105 |
|
115 |
107 |
102 |
What type of hypothesis test is required here?
Verify all assumptions required for this test:
State the null and alternate hypotheses for this test: (use correct symbols and format!)
Run the correct using a software and provide the information below. Use correct symbols and round answers to 3 decimal places.
Test Statistic = Degrees of freedom (1st) =
Critical Value = Degrees of freedom (2nd) =
p-value =
State your statistical decision (and justify it!) Interpret your decision within the context of the problem: what is your conclusion?
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